Details

Time bar (total: 13.2s)

sample24.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify31.0ms

Counts
1 → 1
Iterations
IterNodes
done26
526
425
323
220
115
09

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* x y) 2.0)
8.3b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
15×times-frac
13×add-sqr-sqrt add-cube-cbrt
9×add-cbrt-cube add-exp-log
7×associate-/r*
4×distribute-lft-out associate-/l*
3×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg associate-/r/ div-inv add-log-exp
1×flip3-+ prod-exp cbrt-unprod flip-+
Counts
2 → 54
Calls
2 calls:
8.0ms
(/ (* x y) 2.0)
13.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series161.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (* x y) 2.0)
127.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify1.5s

Counts
60 → 60
Iterations
IterNodes
done5000
21138
1319
0128

prune260.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* x y) 2.0)
0.1b
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
8.2b
(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
111×times-frac
95×*-un-lft-identity
63×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
21×add-exp-log
16×distribute-lft-out
15×add-cbrt-cube
10×div-exp
8×associate-/l*
7×div-inv
6×cbrt-undiv
4×pow1
3×clear-num frac-2neg add-log-exp
2×rec-exp 1-exp associate-/l/
1×flip3-+ prod-exp associate-/r/ cbrt-unprod flip-+ pow-flip inv-pow
Counts
3 → 142
Calls
3 calls:
13.0ms
(/ (* x y) 2.0)
21.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
48.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

series221.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ (* x y) 2.0)
92.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
98.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify2.0s

Counts
151 → 151
Iterations
IterNodes
done5000
21804
1592
0228

prune743.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ 1.0 y) (* 0.5 x))
0.1b
(/ 1 (+ (/ 1.0 y) (* 0.5 x)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
6×add-exp-log
4×add-cbrt-cube add-log-exp
3×pow1 associate-/r* associate-/l*
2×flip3-+ div-exp associate-/r/ flip-+
1×cbrt-undiv +-commutative rec-exp clear-num sum-log frac-2neg 1-exp div-inv pow-flip inv-pow
Counts
2 → 44
Calls
2 calls:
28.0ms
(+ (/ 1.0 y) (* 0.5 x))
36.0ms
(/ 1 (+ (/ 1.0 y) (* 0.5 x)))

series148.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(+ (/ 1.0 y) (* 0.5 x))
100.0ms
(/ 1 (+ (/ 1.0 y) (* 0.5 x)))

simplify2.4s

Counts
50 → 50
Iterations
IterNodes
done5000
33073
2812
1243
099

prune180.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

8.3b
(/ y (+ 1.0 (/ x (/ 2.0 y))))
8.3b
(/ y (+ 1.0 (/ x (/ 2.0 y))))
8.3b
(/ y (+ 1.0 (/ x (/ 2.0 y))))
39.3b
(cbrt (* (* (/ y (+ 1.0 (/ x (/ 2.0 y)))) (/ y (+ 1.0 (/ x (/ 2.0 y))))) (/ y (+ 1.0 (/ x (/ 2.0 y))))))

rewrite532.0ms

Algorithm
rewrite-expression-head
Rules
55×*-un-lft-identity
36×times-frac
31×add-sqr-sqrt add-cube-cbrt
12×associate-/r* distribute-lft-out
10×add-cbrt-cube add-exp-log
9×associate-/l*
7×cbrt-div
6×associate-/r/
5×frac-times associate-*l/
4×pow1 add-log-exp
3×cbrt-undiv clear-num frac-2neg flip3-+ div-exp associate-*r/ flip-+ div-inv
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 116
Calls
4 calls:
56.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))
61.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))
72.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))
336.0ms
(cbrt (* (* (/ y (+ 1.0 (/ x (/ 2.0 y)))) (/ y (+ 1.0 (/ x (/ 2.0 y))))) (/ y (+ 1.0 (/ x (/ 2.0 y))))))

series483.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))
118.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))
100.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))
147.0ms
(cbrt (* (* (/ y (+ 1.0 (/ x (/ 2.0 y)))) (/ y (+ 1.0 (/ x (/ 2.0 y))))) (/ y (+ 1.0 (/ x (/ 2.0 y))))))

simplify2.4s

Counts
128 → 128
Iterations
IterNodes
done5002
33822
2927
1298
0125

prune824.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes170.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done11
111
09

end0.0ms

sample798.0ms

Algorithm
intervals
Results
570.0ms7998×body80valid
0.0ms1×body2560valid
0.0ms1×body1280valid